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Finding the Fourth Proportional to 8,547.08, 12,820.14 and 3,865.94

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Solution

The fourth proportional to 8,547.08, 12,820.14 and 3,865.94 is: 5,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.08 : 12,820.14 = 3,865.94 : x
  2. Step 2: Convert to fraction form
    8,547.08/12,820.14 = 3,865.94/x
  3. Step 3: Cross multiply
    8,547.08x = 12,820.14 × 3,865.94
  4. Step 4: Simplify right side
    8,547.08x = 49,561,892.03
  5. Step 5: Solve for x
    x = 49,561,892.03/8,547.08
  6. Step 6: Final answer
    x = 5,798.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.